what is the missing coefficient?\n$(15x^{2}+11y^{2}+8x)-(7x^{2}+5y^{2}+2x)=square x^{2}+6y^{2}+6x$\n4\n8\n10\…
what is the missing coefficient?\n$(15x^{2}+11y^{2}+8x)-(7x^{2}+5y^{2}+2x)=square x^{2}+6y^{2}+6x$\n4\n8\n10\n22
Answer
Explanation:
Step1: Expand the left - hand side
$(15x^{2}+11y^{2}+8x)-(7x^{2}+5y^{2}+2x)=15x^{2}+11y^{2}+8x - 7x^{2}-5y^{2}-2x$
Step2: Combine like terms for $x^{2}$ terms
$(15x^{2}-7x^{2})+(11y^{2}-5y^{2})+(8x - 2x)=(15 - 7)x^{2}+(11 - 5)y^{2}+(8 - 2)x$ $=8x^{2}+6y^{2}+6x$
Answer:
B. 8