factorise the following x²+6x+9 and x²+2x-15 and 49a²+70ab+25b² and 25x²-49y² and x²+6x+9
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Step-by-step explanation:
x^2+6x+9
=x^2+3^2+2×x×3
=(x+3)^2
x^2+2x-15
=x(x+2)-15
49a^2+70ab+25b^2
=(7a)^2+(5b)^2+2×7a×5b
=(7a+5b)^2
25x^2-49y^2
=(5x)^2-(7y)^2
=(5x+7y)(5x-7y)
x^2+6x+9
=x^×+2×3×x3^2
=(x+3)^2
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