what is the missing coefficient?\n$(15x^{2}+11y^{2}+8x)-(7x^{2}+5y^{2}+2x)=square x^{2}+6y^{2}+6x$\no 4\no…
what is the missing coefficient?\n$(15x^{2}+11y^{2}+8x)-(7x^{2}+5y^{2}+2x)=square x^{2}+6y^{2}+6x$\no 4\no 8\no 10\no 22
Answer
Answer:
B. 8
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 $x^{2}$
$(15x^{2}-7x^{2})+(11y^{2}-5y^{2})+(8x - 2x)=8x^{2}+6y^{2}+6x$ So the coefficient of $x^{2}$ is 8.